Chestnut Picking

Algebra Level 2

Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as many chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?

11, 5, and 6 12, 24, and 9 5, 4, and 15 6, 12, and 8

4 solutions

Mahdi Raza
May 29, 2020

The amount of chestnuts of Peter, Mary and Lucy respectively will be: $\boxed{x} \quad \boxed{2x} \quad \boxed{x+2}$
Their sum is given to be $26 = 4x + 2$
Hence, $\boxed{x} = 6$ will be amount of Peter
$12$ of Mary and $8$ of Lucy

$6, 12, 8$

Vinayak Srivastava
May 28, 2020

Same way, only $6$ , $12$ and $8$ add upto $\boxed{26}$ . @Aseda Nartey , please provide some confusing options!

@Vinayak Srivastava Thanks for the request I'll do that in my later problems.

Aseda Nartey - 1 year ago

Aseda Nartey
May 28, 2020

Let x be the amount Peter picked. Then Mary and Lucy picked 2x and x + 2, respectively. So x + 2x + x + 2 = 26 4x = 24 x = 6

Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.

I agree with some of the other comments - giving options for this problem makes it easier than it might be. One idea might be to ask "how many kg of chestnuts did Lucy pick?" (so the answer is a single number).

Chris Lewis - 1 year ago

A Former Brilliant Member
May 29, 2020

All I did was look at the options and figure out which one adds up to $26$ kg.

@Aseda Nartey , can you please change your answers - it's very easy at the moment!

Chestnut Picking

4 solutions

0 pending reports